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<FONT color="green">001</FONT>    /*<a name="line.1"></a>
<FONT color="green">002</FONT>     * Licensed to the Apache Software Foundation (ASF) under one or more<a name="line.2"></a>
<FONT color="green">003</FONT>     * contributor license agreements.  See the NOTICE file distributed with<a name="line.3"></a>
<FONT color="green">004</FONT>     * this work for additional information regarding copyright ownership.<a name="line.4"></a>
<FONT color="green">005</FONT>     * The ASF licenses this file to You under the Apache License, Version 2.0<a name="line.5"></a>
<FONT color="green">006</FONT>     * (the "License"); you may not use this file except in compliance with<a name="line.6"></a>
<FONT color="green">007</FONT>     * the License.  You may obtain a copy of the License at<a name="line.7"></a>
<FONT color="green">008</FONT>     *<a name="line.8"></a>
<FONT color="green">009</FONT>     *      http://www.apache.org/licenses/LICENSE-2.0<a name="line.9"></a>
<FONT color="green">010</FONT>     *<a name="line.10"></a>
<FONT color="green">011</FONT>     * Unless required by applicable law or agreed to in writing, software<a name="line.11"></a>
<FONT color="green">012</FONT>     * distributed under the License is distributed on an "AS IS" BASIS,<a name="line.12"></a>
<FONT color="green">013</FONT>     * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.<a name="line.13"></a>
<FONT color="green">014</FONT>     * See the License for the specific language governing permissions and<a name="line.14"></a>
<FONT color="green">015</FONT>     * limitations under the License.<a name="line.15"></a>
<FONT color="green">016</FONT>     */<a name="line.16"></a>
<FONT color="green">017</FONT>    package org.apache.commons.math3.analysis.integration.gauss;<a name="line.17"></a>
<FONT color="green">018</FONT>    <a name="line.18"></a>
<FONT color="green">019</FONT>    import java.util.Map;<a name="line.19"></a>
<FONT color="green">020</FONT>    import java.util.TreeMap;<a name="line.20"></a>
<FONT color="green">021</FONT>    import org.apache.commons.math3.util.Pair;<a name="line.21"></a>
<FONT color="green">022</FONT>    import org.apache.commons.math3.exception.DimensionMismatchException;<a name="line.22"></a>
<FONT color="green">023</FONT>    import org.apache.commons.math3.exception.NotStrictlyPositiveException;<a name="line.23"></a>
<FONT color="green">024</FONT>    <a name="line.24"></a>
<FONT color="green">025</FONT>    /**<a name="line.25"></a>
<FONT color="green">026</FONT>     * Base class for rules that determines the integration nodes and their<a name="line.26"></a>
<FONT color="green">027</FONT>     * weights.<a name="line.27"></a>
<FONT color="green">028</FONT>     * Subclasses must implement the {@link #computeRule(int) computeRule} method.<a name="line.28"></a>
<FONT color="green">029</FONT>     *<a name="line.29"></a>
<FONT color="green">030</FONT>     * @param &lt;T&gt; Type of the number used to represent the points and weights of<a name="line.30"></a>
<FONT color="green">031</FONT>     * the quadrature rules.<a name="line.31"></a>
<FONT color="green">032</FONT>     *<a name="line.32"></a>
<FONT color="green">033</FONT>     * @since 3.1<a name="line.33"></a>
<FONT color="green">034</FONT>     * @version $Id: BaseRuleFactory.java 1382197 2012-09-07 22:35:01Z erans $<a name="line.34"></a>
<FONT color="green">035</FONT>     */<a name="line.35"></a>
<FONT color="green">036</FONT>    public abstract class BaseRuleFactory&lt;T extends Number&gt; {<a name="line.36"></a>
<FONT color="green">037</FONT>        /** List of points and weights, indexed by the order of the rule. */<a name="line.37"></a>
<FONT color="green">038</FONT>        private final Map&lt;Integer, Pair&lt;T[], T[]&gt;&gt; pointsAndWeights<a name="line.38"></a>
<FONT color="green">039</FONT>            = new TreeMap&lt;Integer, Pair&lt;T[], T[]&gt;&gt;();<a name="line.39"></a>
<FONT color="green">040</FONT>        /** Cache for double-precision rules. */<a name="line.40"></a>
<FONT color="green">041</FONT>        private final Map&lt;Integer, Pair&lt;double[], double[]&gt;&gt; pointsAndWeightsDouble<a name="line.41"></a>
<FONT color="green">042</FONT>            = new TreeMap&lt;Integer, Pair&lt;double[], double[]&gt;&gt;();<a name="line.42"></a>
<FONT color="green">043</FONT>    <a name="line.43"></a>
<FONT color="green">044</FONT>        /**<a name="line.44"></a>
<FONT color="green">045</FONT>         * Gets a copy of the quadrature rule with the given number of integration<a name="line.45"></a>
<FONT color="green">046</FONT>         * points.<a name="line.46"></a>
<FONT color="green">047</FONT>         *<a name="line.47"></a>
<FONT color="green">048</FONT>         * @param numberOfPoints Number of integration points.<a name="line.48"></a>
<FONT color="green">049</FONT>         * @return a copy of the integration rule.<a name="line.49"></a>
<FONT color="green">050</FONT>         * @throws NotStrictlyPositiveException if {@code numberOfPoints &lt; 1}.<a name="line.50"></a>
<FONT color="green">051</FONT>         */<a name="line.51"></a>
<FONT color="green">052</FONT>        public Pair&lt;double[], double[]&gt; getRule(int numberOfPoints)<a name="line.52"></a>
<FONT color="green">053</FONT>            throws NotStrictlyPositiveException {<a name="line.53"></a>
<FONT color="green">054</FONT>            // Try to obtain the rule from the cache.<a name="line.54"></a>
<FONT color="green">055</FONT>            Pair&lt;double[], double[]&gt; cached = pointsAndWeightsDouble.get(numberOfPoints);<a name="line.55"></a>
<FONT color="green">056</FONT>    <a name="line.56"></a>
<FONT color="green">057</FONT>            if (cached == null) {<a name="line.57"></a>
<FONT color="green">058</FONT>                // Rule not computed yet.<a name="line.58"></a>
<FONT color="green">059</FONT>    <a name="line.59"></a>
<FONT color="green">060</FONT>                // Compute the rule.<a name="line.60"></a>
<FONT color="green">061</FONT>                final Pair&lt;T[], T[]&gt; rule = getRuleInternal(numberOfPoints);<a name="line.61"></a>
<FONT color="green">062</FONT>                cached = convertToDouble(rule);<a name="line.62"></a>
<FONT color="green">063</FONT>    <a name="line.63"></a>
<FONT color="green">064</FONT>                // Cache it.<a name="line.64"></a>
<FONT color="green">065</FONT>                pointsAndWeightsDouble.put(numberOfPoints, cached);<a name="line.65"></a>
<FONT color="green">066</FONT>            }<a name="line.66"></a>
<FONT color="green">067</FONT>    <a name="line.67"></a>
<FONT color="green">068</FONT>            // Return a copy.<a name="line.68"></a>
<FONT color="green">069</FONT>            return new Pair&lt;double[], double[]&gt;(cached.getFirst().clone(),<a name="line.69"></a>
<FONT color="green">070</FONT>                                                cached.getSecond().clone());<a name="line.70"></a>
<FONT color="green">071</FONT>        }<a name="line.71"></a>
<FONT color="green">072</FONT>    <a name="line.72"></a>
<FONT color="green">073</FONT>        /**<a name="line.73"></a>
<FONT color="green">074</FONT>         * Gets a rule.<a name="line.74"></a>
<FONT color="green">075</FONT>         * Synchronization ensures that rules will be computed and added to the<a name="line.75"></a>
<FONT color="green">076</FONT>         * cache at most once.<a name="line.76"></a>
<FONT color="green">077</FONT>         * The returned rule is a reference into the cache.<a name="line.77"></a>
<FONT color="green">078</FONT>         *<a name="line.78"></a>
<FONT color="green">079</FONT>         * @param numberOfPoints Order of the rule to be retrieved.<a name="line.79"></a>
<FONT color="green">080</FONT>         * @return the points and weights corresponding to the given order.<a name="line.80"></a>
<FONT color="green">081</FONT>         * @throws NotStrictlyPositiveException if {@code numberOfPoints &lt; 1}.<a name="line.81"></a>
<FONT color="green">082</FONT>         */<a name="line.82"></a>
<FONT color="green">083</FONT>        protected synchronized Pair&lt;T[], T[]&gt; getRuleInternal(int numberOfPoints)<a name="line.83"></a>
<FONT color="green">084</FONT>            throws NotStrictlyPositiveException {<a name="line.84"></a>
<FONT color="green">085</FONT>            final Pair&lt;T[], T[]&gt; rule = pointsAndWeights.get(numberOfPoints);<a name="line.85"></a>
<FONT color="green">086</FONT>            if (rule == null) {<a name="line.86"></a>
<FONT color="green">087</FONT>                addRule(computeRule(numberOfPoints));<a name="line.87"></a>
<FONT color="green">088</FONT>                // The rule should be available now.<a name="line.88"></a>
<FONT color="green">089</FONT>                return getRuleInternal(numberOfPoints);<a name="line.89"></a>
<FONT color="green">090</FONT>            }<a name="line.90"></a>
<FONT color="green">091</FONT>            return rule;<a name="line.91"></a>
<FONT color="green">092</FONT>        }<a name="line.92"></a>
<FONT color="green">093</FONT>    <a name="line.93"></a>
<FONT color="green">094</FONT>        /**<a name="line.94"></a>
<FONT color="green">095</FONT>         * Stores a rule.<a name="line.95"></a>
<FONT color="green">096</FONT>         *<a name="line.96"></a>
<FONT color="green">097</FONT>         * @param rule Rule to be stored.<a name="line.97"></a>
<FONT color="green">098</FONT>         * @throws DimensionMismatchException if the elements of the pair do not<a name="line.98"></a>
<FONT color="green">099</FONT>         * have the same length.<a name="line.99"></a>
<FONT color="green">100</FONT>         */<a name="line.100"></a>
<FONT color="green">101</FONT>        protected void addRule(Pair&lt;T[], T[]&gt; rule) {<a name="line.101"></a>
<FONT color="green">102</FONT>            if (rule.getFirst().length != rule.getSecond().length) {<a name="line.102"></a>
<FONT color="green">103</FONT>                throw new DimensionMismatchException(rule.getFirst().length,<a name="line.103"></a>
<FONT color="green">104</FONT>                                                     rule.getSecond().length);<a name="line.104"></a>
<FONT color="green">105</FONT>            }<a name="line.105"></a>
<FONT color="green">106</FONT>    <a name="line.106"></a>
<FONT color="green">107</FONT>            pointsAndWeights.put(rule.getFirst().length, rule);<a name="line.107"></a>
<FONT color="green">108</FONT>        }<a name="line.108"></a>
<FONT color="green">109</FONT>    <a name="line.109"></a>
<FONT color="green">110</FONT>        /**<a name="line.110"></a>
<FONT color="green">111</FONT>         * Computes the rule for the given order.<a name="line.111"></a>
<FONT color="green">112</FONT>         *<a name="line.112"></a>
<FONT color="green">113</FONT>         * @param numberOfPoints Order of the rule to be computed.<a name="line.113"></a>
<FONT color="green">114</FONT>         * @return the computed rule.<a name="line.114"></a>
<FONT color="green">115</FONT>         */<a name="line.115"></a>
<FONT color="green">116</FONT>        protected abstract Pair&lt;T[], T[]&gt; computeRule(int numberOfPoints);<a name="line.116"></a>
<FONT color="green">117</FONT>    <a name="line.117"></a>
<FONT color="green">118</FONT>        /**<a name="line.118"></a>
<FONT color="green">119</FONT>         * Converts the from the actual {@code Number} type to {@code double}<a name="line.119"></a>
<FONT color="green">120</FONT>         *<a name="line.120"></a>
<FONT color="green">121</FONT>         * @param &lt;T&gt; Type of the number used to represent the points and<a name="line.121"></a>
<FONT color="green">122</FONT>         * weights of the quadrature rules.<a name="line.122"></a>
<FONT color="green">123</FONT>         * @param rule Points and weights.<a name="line.123"></a>
<FONT color="green">124</FONT>         * @return points and weights as {@code double}s.<a name="line.124"></a>
<FONT color="green">125</FONT>         */<a name="line.125"></a>
<FONT color="green">126</FONT>        private static &lt;T extends Number&gt; Pair&lt;double[], double[]&gt; convertToDouble(Pair&lt;T[], T[]&gt; rule) {<a name="line.126"></a>
<FONT color="green">127</FONT>            final T[] pT = rule.getFirst();<a name="line.127"></a>
<FONT color="green">128</FONT>            final T[] wT = rule.getSecond();<a name="line.128"></a>
<FONT color="green">129</FONT>    <a name="line.129"></a>
<FONT color="green">130</FONT>            final int len = pT.length;<a name="line.130"></a>
<FONT color="green">131</FONT>            final double[] pD = new double[len];<a name="line.131"></a>
<FONT color="green">132</FONT>            final double[] wD = new double[len];<a name="line.132"></a>
<FONT color="green">133</FONT>    <a name="line.133"></a>
<FONT color="green">134</FONT>            for (int i = 0; i &lt; len; i++) {<a name="line.134"></a>
<FONT color="green">135</FONT>                pD[i] = pT[i].doubleValue();<a name="line.135"></a>
<FONT color="green">136</FONT>                wD[i] = wT[i].doubleValue();<a name="line.136"></a>
<FONT color="green">137</FONT>            }<a name="line.137"></a>
<FONT color="green">138</FONT>    <a name="line.138"></a>
<FONT color="green">139</FONT>            return new Pair&lt;double[], double[]&gt;(pD, wD);<a name="line.139"></a>
<FONT color="green">140</FONT>        }<a name="line.140"></a>
<FONT color="green">141</FONT>    }<a name="line.141"></a>




























































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